Question:

A bullet of mass 50 g is fired from a 5 kg gun with a velocity of 1 km/sec. The speed of recoil of the gun is:

Updated On: Sep 3, 2024
  • 5 m/s
  • 1 m/s
  • 0.5 m/s
  • 10 m/s
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The Correct Option is D

Solution and Explanation

Applying law of conservation or momentum $ mv\text{ }=\text{ }m\upsilon $ Here, mass of bullet $ m=50\text{ }g=0.05\text{ }kg $ velocity of bullet $ =1\text{ }km\text{/}sec=1000\text{ }m\text{/}sec $ mass of gun $ m=5kg $ or $ 0.05\times 1000=5v $ or $ v=\frac{0.05\times 1000}{5} $ so, $ v=10\,m\text{/}s $
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Concepts Used:

Collision Theory

The collision theory states that a chemical reaction can only occur between particles when they collide (hit each other). The collision between reactant particles is necessary but not sufficient for a reaction to take place. The collisions also have to be effective. It is important to understand the exact nature of an effective collision since this determines whether particles react with each other and form new products.

Molecular Collisions

  • The more molecules are present, the more collisions will happen.
  • Molecules must collide before they can react.
  • To effectively initiate a reaction, collisions must be sufficiently energetic
    (kinetic energy) to bring about this bond disruption.
  • As the temperature rises, molecules move faster and collide more vigorously,
    greatly increasing the likelihood of bond cleavages and rearrangements.
  • Most reactions involving neutral molecules cannot take place at all until they have acquired the activation energy needed to stretch, bend, or otherwise distort one or more bonds.